Question

Express the following in the form of p/q where p and q are integers and q is not equal to zero.

(a) 0.613(613 bar)

Answer 1

ANSWER =613/999

EXPLANATION

x=0.613(1st equation)

(multiply both LHS and RHS by 1000 because there are 3 number after decimal)

1000×x=1000×0.613

1000x=613.613(2nd equation)

(now subtract 1st equation from 2nd equation)

1000x-x=613.613-0.613

999x=613

x=613/999

that's your answer